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Finding the Fourth Proportional to 626.64, 857.09 and 616.56

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Solution

The fourth proportional to 626.64, 857.09 and 616.56 is: 843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.64 : 857.09 = 616.56 : x
  2. Step 2: Convert to fraction form
    626.64/857.09 = 616.56/x
  3. Step 3: Cross multiply
    626.64x = 857.09 × 616.56
  4. Step 4: Simplify right side
    626.64x = 528,447.41
  5. Step 5: Solve for x
    x = 528,447.41/626.64
  6. Step 6: Final answer
    x = 843.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.